Yes. Unloading is a science, also, if you want to avoid capsizing. And the risk is increased because they don’t know on which sand the boat rests (it may be balanced at some point just by one bank + the pressure of the flow of water) and the tides add some random every 6 hrs.
The center of gravity on that ship looks like it could only be improved by chucking containers overboard. On the other hand, chucking them over the side one by one might be harder than just pushing a whole column over but making that kind of sudden weight change might not be good.
I wonder what the options even are for removing the containers? I assume they're very securely strapped on most of the time, and maybe there's not any reasonable way to get any of the containers loose outside of a port without making the whole pile unstable.
Light boats are less stable. One of the few that could make this situation worse would be the damn thing capsizing.